What QCD sum rules tell about the rho meson

Leupold, Stefan; Peters, W.; Mosel, U.

doi:10.1016/s0375-9474(97)00634-9

Cited by 160 publications

(242 citation statements)

References 33 publications

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“…discussion above). We have checked that the use of a Borel sum rule in the way described in [16,35] leads to quantitatively similar results as compared to the ones presented here. We prefer to use the finite energy sum rules here since in this case the results can be presented in a closed analytic form.…”

Section: Qcd Sum Rulessupporting

confidence: 71%

Rho meson properties from combining QCD-based models

Leupold

2004

Nuclear Physics A

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Aiming at the calculation of the properties of ρ-mesons, non-perturbative QCD-based methods are discussed concerning their potentials as well as their short-comings. The latter are overcome by combining these techniques. The utilized methods are (i) the chiral constituent quark model deduced from the instanton vacuum model and large-Nc arguments, (ii) chiral perturbation theory unitarized by the inverse amplitude method and (iii) QCD sum rules. Advantages of the combination of these methods are especially the absence of un-physical quark-production thresholds and parameter-free results. Already in the chiral limit and in leading order in 1/Nc one obtains a reasonable result for the mass of the ρ-meson, namely mρ = 790 ± 30 MeV. Using the KSFR relation the universality of the ρ-meson coupling is recovered. The latter is found to be g = 6.0 ± 0.3.

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Section: Qcd Sum Rulessupporting

confidence: 71%

Rho meson properties from combining QCD-based models

Leupold

2004

Nuclear Physics A

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“…Even if one follows the arguments of points 1 to 4 it has been shown that besides a dropping mass also a broadened hadronic spectral distribution is compatible with the QCD sum rules [32,33]. One still seems to have at least a connection between chiral restoration -drop of two-and fourquark condensates -and in-medium changes, no matter whether it is a mass shift or a broadening or a more complicated in-medium modification [13,34].…”

Section: Introductionmentioning

confidence: 97%

“…where the Borel mass M has emerged from the OPE momentum scale Q (for further details we refer the interested reader to [33]). We consider a ρ meson at rest, therefore, the tensor structure of (5) reduces to a scalar Π = 1 3 Π µ µ .…”

Section: Introductionmentioning

confidence: 99%

The impact of chirally odd condensates on the rho meson

et al. 2012

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Based on QCD sum rules we explore the consequences of a pure chiral restoration scenario for the ρ meson, where all chiral symmetry breaking condensates are dropped whereas the chirally symmetric condensates remain at their vacuum values. This pure chiral restoration scenario causes the drop of the ρ spectral moment by about 120 MeV. The complementarity of mass shift and broadening is discussed. A simple parametrization of the ρ spectral function leads to a width of about 600 MeV if no shift of the peak position is assumed.

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“…As is well known for the ρ meson [15,16,17], the QCDSR cannot uniquely predict the in-medium properties of the spectral function, but it can provide constraints on model calculations. Weinberg sum rules (WSRs) relate chiral order parameters to energy moments of the difference between the vector and axialvector spectral functions [18],…”

Section: Qcd and Weinberg Sum Rulesmentioning

confidence: 99%

Dileptons and Chiral Symmetry Restoration

Hohler

Rapp

2016

Nuclear and Particle Physics Proceedings

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We report on recent work relating the medium effects observed in dilepton spectra in heavy-ion collisions to potential signals of chiral symmetry restoration. The key connection remains the approach to spectral function degeneracy between the vector-isovector channel with its chiral partner, the axialvector-isovector channel. Several approaches are discussed to elaborate this connection, namely QCD and Weinberg sum rules with input for chiral order parameters from lattice QCD, and chiral hadronic theory to directly evaluate the medium effects of the axialvector channel and the pertinent pion decay constant as function of temperature. A pattern emerges where the chiral mass splitting between ρ and a 1 burns off and is accompanied by a strong broadening of the spectral distributions.

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What QCD sum rules tell about the rho meson

Abstract: Using a simple parametrization of Breit-Wigner type for the hadronic side of the QCD sum rule for ρ mesons in vacuum as well as in a nuclear medium we explore the range of values for the mass and the width of the ρ meson which are compatible with the operator product expansion.

Cited by 160 publications

References 33 publications

Rho meson properties from combining QCD-based models

Rho meson properties from combining QCD-based models

The impact of chirally odd condensates on the rho meson

Dileptons and Chiral Symmetry Restoration

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